1995 AMC 8 第 12 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
12.
一个“幸运”年份是指至少有一个日期按“月/日/年”的形式书写时，满足月份数乘以日期数等于年份的最后两位。例如， 是幸运年份，因为日期 满足 。下列哪一年不是幸运年份？
A lucky year is one in which at least one date, when written in the form month/day/year, has the following property: the product of the month times the day equals the last two digits of the year. For example, is a lucky year because it has the date and Which of the following is NOT a lucky year?
小提示：
对每一年，尝试把最后两位写成合法的月份 日期
For each year, try to write its last two digits as (month) (day) with a valid month and day
大提示：
如果最后两位不能写成一个不超过 的数乘以一个不超过 的数，这一年就不是幸运年份
A year fails only when the last two digits cannot be a product of a number at most and a number at most
解答：
其他年份都可以：、、 和 ，都对应合法的月和日。
对 ，最后两位只能分解为 ，而 作为日期太大， 或 作为月份也太大。因此 没有幸运日期。
所以正确答案是 E。
Each of the other years works: and each a valid month/day.
For the last two digits factor only as and is too large for a day (and or is too large for a month). So has no lucky date.
Thus, the correct answer is E .
其他年份的第 12 题
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